An article of manufacture having a nominal airfoil profile substantially in accordance with Cartesian coordinate values of x, Y, and Z set forth in a scalable table identified as table 1, wherein the Cartesian coordinate values of x, Y, and Z are non-dimensional values convertible to dimensional distances by multiplying the Cartesian coordinate values of x, Y, and Z by a number, and wherein x and Y are coordinates which, when connected by continuing arcs, define airfoil profile sections at each Z height, the airfoil profile sections at each Z height being joined with one another to form a complete airfoil shape. The resulting article may be used as a stator vane in a compressor.
|
1. An article of manufacture comprising a nominal airfoil profile in accordance with Cartesian coordinate values of x, Y, and Z set forth in a scalable table identified as table 1, wherein the Cartesian coordinate values of x, Y, and Z are non-dimensional values convertible to dimensional distances by multiplying the Cartesian coordinate values of x, Y, and Z by a number; and wherein the x and Y values are coordinates which, when connected by continuing arcs, define airfoil profile sections at each Z height, the airfoil profile sections at each Z height being joined smoothly with one another to form a complete airfoil shape.
14. A compressor comprising a plurality of stator vanes, each of the stator vanes including an airfoil having a suction-side airfoil shape, the airfoil having a nominal profile in accordance with suction-side Cartesian coordinate values of x, Y, and Z set forth in a scalable table identified as table 1, wherein the Cartesian coordinate values of x, Y, and Z are non-dimensional values convertible to dimensional distances by multiplying the Cartesian coordinate values of x, Y, and Z by a number; and wherein the x and Y values are coordinates which, when connected by continuing arcs, define suction-side airfoil profile sections at each Z height, the suction-side airfoil profile sections at each Z height being joined smoothly with one another to form a complete suction-side airfoil shape.
7. An article of manufacture comprising a suction-side nominal airfoil profile in accordance with suction-side Cartesian coordinate values of x, Y, and Z set forth in a scalable table identified as table 1, wherein the Cartesian coordinate values of x, Y, and Z are non-dimensional values convertible to dimensional distances by multiplying the Cartesian coordinate values of x, Y, and Z by a number; and wherein the x and Y values are coordinates which, when connected by continuing arcs, define suction-side airfoil profile sections at each Z height, the suction-side airfoil profile sections at each Z height being joined smoothly with one another to form a complete suction-side airfoil shape, the x, Y, and Z coordinate values being scalable as a function of the number to provide at least one of a non-scaled, scaled-up, and scaled-down airfoil profile.
2. The article of manufacture according to
3. The article of manufacture according to
4. The article of manufacture according to
5. The article of manufacture according to
6. The article of manufacture according to
8. The article of manufacture according to
9. The article of manufacture according to
10. The article of manufacture according to
11. The article of manufacture according to
12. The article of manufacture according to
13. The article of manufacture according to
15. The compressor according to
16. The compressor according to
17. The compressor according to
18. The compressor according to
19. The compressor according to
20. The compressor according to
|
The present disclosure relates generally to an airfoil for use in turbomachinery, and more particularly relates to an airfoil profile or airfoil shape for use in a compressor.
In turbomachines, many system requirements should be met at each stage of the turbomachine's flow path to meet design goals. These design goals include, but are not limited to, overall improved efficiency, reduction of vibratory response and improved airfoil loading capability. For example, a compressor airfoil profile should achieve thermal and mechanical operating requirements for a particular stage in the compressor. Moreover, component lifetime, reliability and cost targets also should be met.
According to one aspect of the present disclosure, an article of manufacture is provided having a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z set forth in a scalable table identified herein as TABLE 1, wherein the Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances by multiplying the Cartesian coordinate values of X, Y, and Z by a number, and wherein X and Y are coordinates which, when connected by continuing arcs, define airfoil profile sections at each Z height, the airfoil profile sections at each Z height being joined smoothly with one another to form a complete airfoil shape.
According to another aspect of the present disclosure, an article of manufacture is provided having a suction-side nominal airfoil profile substantially in accordance with suction-side Cartesian coordinate values of X, Y, and Z set forth in a scalable table identified herein as TABLE 1, wherein the Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances by multiplying the Cartesian coordinate values of X, Y, and Z by a number, and wherein X and Y are coordinates which, when connected by continuing arcs, define airfoil profile sections at each Z height, the airfoil profile sections at each Z height being joined smoothly with one another to form a complete suction-side airfoil shape, the X, Y, and Z coordinate values being scalable as a function of the number to provide at least one of a non-scaled, scaled-up, and scaled-down airfoil profile.
According to yet another aspect of the present disclosure, a compressor is provided comprising a plurality of stator vanes, each of the stator vanes including an airfoil having a suction-side airfoil shape, the airfoil having a nominal profile substantially in accordance with suction-side Cartesian coordinate values of X, Y, and Z set forth in a scalable table identified herein as TABLE 1, wherein the Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances by multiplying the Cartesian coordinate values of X, Y, and Z by a number, and wherein X and Y are coordinates which, when connected by continuing arcs, define airfoil profile sections at each Z height, the airfoil profile sections at each Z height being joined smoothly with one another to form a complete suction-side airfoil shape.
These and other features and improvements of the present disclosure should become apparent to one of ordinary skill in the art upon review of the following detailed description when taken in conjunction with the several drawings and the appended claims.
One or more specific aspects/embodiments of the present compressor stator vane will be described below. In an effort to provide a concise description of these aspects/embodiments, all features of an actual implementation may not be described in the specification. It should be appreciated that in the development of any such actual implementation, as in any engineering or design project, numerous implementation-specific decisions must be made to achieve the developers' specific goals, such as compliance with machine-related, system-related and business-related constraints, which may vary from one implementation to another. Moreover, it should be appreciated that such a development effort might be complex and time-consuming, but would nevertheless be a routine undertaking of design, fabrication, and manufacture for those of ordinary skill having the benefit of this disclosure.
When introducing elements of various embodiments of the presently claimed subject matter, the articles “a,” “an,” “the,” and “said” are intended to mean that there are one or more of the elements. The terms “comprising,” “including,” and “having” are intended to be inclusive and mean that there may be additional elements other than the listed elements. Any examples of operating parameters and/or environmental conditions are not exclusive of other parameters/conditions of the disclosed embodiments. Additionally, it should be understood that references to “one embodiment”, “one aspect” or “an embodiment” or “an aspect” of the present disclosure are not intended to be interpreted as excluding the existence of additional embodiments or aspects that also incorporate the recited features. Turbomachinery is defined as one or more machines that transfer energy between a rotor and a fluid or vice-versa, including but not limited to gas turbines, steam turbines, and compressors.
Referring now to the drawings,
The compressor 2 defines a flow path 1 for fluids (e.g., air) being compressed therein, which may include from fourteen to eighteen rotor/stator stages. However, the exact number of rotor and stator stages is a choice of engineering design, and may be more or less than the eighteen stages illustrated in
The compressor rotor blades 22 impart kinetic energy to the airflow by accelerating the airflow, and the stator vanes 23 convert the increased rotational kinetic energy into static pressure, bringing about a desired pressure rise. Both the rotor blades 22 and stator vanes 23 turn the airflow, slow the airflow velocity (in the respective airfoil frame of reference), and yield a rise in the static pressure of the airflow. Typically, in axial flow compressors, multiple stages of rotor/stator sets are arranged to achieve a desired discharge-to-inlet pressure ratio.
Each rotor blade 22 and stator vane 23 includes an airfoil, and these airfoils can be secured to rotor wheels or a stator case by an appropriate attachment configuration, often known as a “root,” “base,” or “dovetail” (not shown). In addition, compressors may also include inlet guide vanes (IGVs) 21 and exit or exhaust guide vanes (EGVs) 27. All of these blades and vanes have airfoils that act on the medium (e.g., air) passing through the compressor flow path 1.
Exemplary stages of the compressor 2 are illustrated in
A stator vane 23, illustrated in
An airfoil may extend beyond the compressor flowpath and may be tipped to achieve the desired endwall clearances. As non-limiting examples only, the height of the airfoil 200 may be from about 1 inch to about 30 inches or more, about 5 inches to about 20 inches, about 5 inches to about 15 inches, or about 10 inches to about 15 inches. However, any specific airfoil height may be used as desired in the specific application. As will be appreciated, longer airfoils 200 may be used in the initial stages, while airfoils of progressively shorter lengths may be used in the subsequent stages.
The compressor flow path 1 requires airfoils that meet system requirements of aerodynamic and mechanical blade/vane loading and efficiency. For example, it is desirable that the airfoils are designed to reduce the vibratory response or vibratory stress response of the respective blades and/or vanes. Materials such as high strength alloys, non-corrosive alloys and/or stainless steels may be used in the blades and/or vanes.
To define the airfoil shape of each blade airfoil and/or vane airfoil, there is a unique set or loci of points in space that meet the stage requirements and that can be manufactured. These unique loci of points meet the requirements for stage efficiency and are arrived at by iteration between aerodynamic and mechanical loadings, thus enabling the turbine and compressor to run in an efficient, safe, reliable and smooth manner. These points are unique and specific to the system. The loci that define the airfoil profile include a set of points with X, Y, and Z coordinates relative to a reference origin coordinate system.
The three-dimensional Cartesian coordinate system of X, Y, and Z values given in scalable TABLE 1 below defines the profile of the stator vane airfoil at various locations along its length. Scalable TABLE 1 provides data for a non-coated airfoil. The envelope/tolerance for the coordinates is about +/−5% of the chord length 350 in a direction normal to any airfoil surface location, or about +/−0.25 inches in a direction normal to any airfoil surface location. However, tolerances of about +/−0.15 inches to about +/−0.25 inches, or about +/−3% to about +/−5% in a direction normal to an airfoil surface location may also be used, as desired in the specific application.
The point data origin 230 may be the mid-point of the suction side of the base of the airfoil, the pressure side of the base of the airfoil, the leading edge of the base of the airfoil, the trailing edge of the base of the airfoil, or any other suitable location as desired. The coordinate values for the X, Y, and Z coordinates are set forth in non-dimensionalized units in scalable TABLE 1, although other units of dimensions may be used when the values are appropriately converted. As one example only, the Cartesian coordinate values of X, Y, and Z may be convertible to dimensional distances by multiplying the X, Y, and Z values by a multiplying by a constant number (e.g., 100). The number, used to convert the non-dimensional values to dimensional distances, may be a fraction (e.g., ½, ¼, etc.), decimal fraction (e.g., 0.5, 1.5, 10.25, etc.), integer (e.g., 1, 2, 10, 100, etc.) or a mixed number (e.g., 1½, 10¼, etc.). The dimensional distances may be any suitable unit of measure (e.g., inches, feet, millimeters, centimeters, meters, etc.). As one non-limiting example only, the Cartesian coordinate system has orthogonally-related X, Y, and Z axes, in which the X axis may lie generally parallel to the compressor rotor centerline (i.e., the rotary axis) and a positive X coordinate value is axial toward the aft (i.e., exhaust end) of the turbine. The positive Y coordinate value extends tangentially in the direction of rotation of the rotor, and the positive Z coordinate value is radially outwardly toward the rotor blade tip, stator vane or stator vane base. All the values in scalable TABLE 1 are based on measurements at room temperature and are unfilleted.
By defining X and Y coordinate values at selected locations in a Z direction (or height) normal to the X, Y plane, the profile section or airfoil shape of the airfoil at each Z height along the length of the airfoil can be ascertained. By connecting the X and Y values with smooth continuing arcs, each profile section at each Z height is fixed. The airfoil profiles of the various surface locations between each Z height are determined by smoothly connecting the adjacent profile sections to one another to form the airfoil profile.
The TABLE 1 values are generated and shown from zero to four or more decimal places for determining the profile of the airfoil. As the airfoil heats up during use, the associated stress and temperature will cause a change in the X, Y, and Z values. Accordingly, the values for the profile given in TABLE 1 represent ambient, non-operating, or non-hot conditions (e.g., room temperature). As mentioned above, the values in TABLE 1 define a profile of an uncoated airfoil.
There are typical manufacturing tolerances as well as optional coatings which must be accounted for in the actual profile of the airfoil. Each section is joined smoothly with the other sections to form the complete airfoil shape. It will therefore be appreciated that +/−typical manufacturing tolerances, i.e., +/−values, including any coating thicknesses, are additive to the X and Y values given in TABLE 1 below. Accordingly, a distance of about +/−5% of chord length and/or +/−0.25 inches in a direction normal to a surface location along the airfoil profile defines an airfoil profile envelope for this particular airfoil design and compressor (i.e., a range of variation between measured points on the actual airfoil surface at nominal cold or room temperature and the ideal position of those points as given in TABLE 1 below at the same temperature). Additionally, a distance of about +/−5% of a chord length in a direction normal to an airfoil surface location along the airfoil profile also may define an airfoil profile envelope for this particular airfoil design. The data is scalable and the geometry pertains to all aerodynamic scales, at, above and/or below about 3,600 RPM. The stator vane airfoil design is robust to this range of variation without impairment of mechanical and aerodynamic functions.
The coordinate values given in scalable TABLE 1 below provide the nominal profile for an exemplary stage compressor stator vane.
TABLE 1
SUCTION SIDE
PRESSURE SIDE
X
Y
Z
X
Y
Z
−1.2257
1.0575
0
1.6634
−0.9911
0
−1.2296
1.0533
0
1.6636
−0.9904
0
−1.2337
1.0468
0
1.6641
−0.9891
0
−1.2371
1.0379
0
1.6649
−0.9863
0
−1.239
1.0266
0
1.6657
−0.9807
0
−1.2389
1.0114
0
1.6651
−0.9719
0
−1.2356
0.9919
0
1.6581
−0.9576
0
−1.2285
0.9685
0
1.6404
−0.9458
0
−1.2173
0.941
0
1.6148
−0.933
0
−1.2027
0.9088
0
1.5828
−0.9168
0
−1.1845
0.8717
0
1.5415
−0.8954
0
−1.1615
0.8287
0
1.4944
−0.8697
0
−1.1334
0.78
0
1.4449
−0.8408
0
−1.0996
0.7261
0
1.3901
−0.807
0
−1.0602
0.6668
0
1.3298
−0.7685
0
−1.0146
0.6024
0
1.264
−0.7254
0
−0.9627
0.5336
0
1.196
−0.6793
0
−0.9069
0.4635
0
1.1257
−0.6302
0
−0.8471
0.3923
0
1.053
−0.5781
0
−0.783
0.3201
0
0.9781
−0.5231
0
−0.7146
0.247
0
0.9008
−0.4652
0
−0.6418
0.1731
0
0.8212
−0.4044
0
−0.5642
0.0988
0
0.7392
−0.3408
0
−0.4819
0.024
0
0.6548
−0.2746
0
−0.3975
−0.0486
0
0.5707
−0.2079
0
−0.3109
−0.119
0
0.4868
−0.1411
0
−0.2219
−0.187
0
0.403
−0.0741
0
−0.1305
−0.2524
0
0.319
−0.0073
0
−0.0373
−0.3147
0
0.2348
0.0592
0
0.0575
−0.3735
0
0.15
0.125
0
0.1537
−0.4292
0
0.0648
0.1902
0
0.2512
−0.4821
0
−0.0207
0.255
0
0.35
−0.5324
0
−0.1064
0.3196
0
0.4498
−0.5803
0
−0.1922
0.384
0
0.5507
−0.626
0
−0.2781
0.4483
0
0.6492
−0.6682
0
−0.3611
0.5105
0
0.7451
−0.7071
0
−0.4412
0.5705
0
0.8383
−0.7432
0
−0.5186
0.6282
0
0.9287
−0.7766
0
−0.5933
0.6837
0
1.016
−0.8077
0
−0.6651
0.7369
0
1.1003
−0.8366
0
−0.7343
0.7877
0
1.1814
−0.8638
0
−0.8009
0.836
0
1.2591
−0.8893
0
−0.8621
0.8795
0
1.33
−0.9119
0
−0.918
0.9182
0
1.3938
−0.9321
0
−0.9684
0.9522
0
1.4504
−0.9504
0
−1.0135
0.9812
0
1.5033
−0.9682
0
−1.0532
1.0055
0
1.549
−0.984
0
−1.0872
1.0252
0
1.5841
−0.9962
0
−1.1167
1.0414
0
1.6122
−1.0059
0
−1.142
1.0539
0
1.6337
−1.0114
0
−1.1636
1.0623
0
1.65
−1.0067
0
−1.1816
1.0667
0
1.6573
−1.0007
0
−1.1959
1.0678
0
1.661
−0.9959
0
−1.2066
1.0667
0
1.6624
−0.9932
0
−1.2151
1.0642
0
1.6631
−0.9918
0
−1.2215
1.0608
0
−1.21
1.0383
0.765
1.6386
−0.9778
0.765
−1.2137
1.0341
0.765
1.6389
−0.9772
0.765
−1.2176
1.0277
0.765
1.6393
−0.9758
0.765
−1.2206
1.0189
0.765
1.6401
−0.9731
0.765
−1.2221
1.0078
0.765
1.6408
−0.9676
0.765
−1.2215
0.993
0.765
1.64
−0.9589
0.765
−1.2177
0.974
0.765
1.6324
−0.9452
0.765
−1.2102
0.9513
0.765
1.6144
−0.9343
0.765
−1.1988
0.9247
0.765
1.5892
−0.9216
0.765
−1.184
0.8934
0.765
1.5578
−0.9057
0.765
−1.1656
0.8574
0.765
1.517
−0.8846
0.765
−1.1425
0.8157
0.765
1.4706
−0.8593
0.765
−1.1143
0.7685
0.765
1.4218
−0.831
0.765
−1.0807
0.7162
0.765
1.3677
−0.7979
0.765
−1.0415
0.6586
0.765
1.3082
−0.7602
0.765
−0.9963
0.5962
0.765
1.2433
−0.7179
0.765
−0.9449
0.5294
0.765
1.1761
−0.6727
0.765
−0.8898
0.4613
0.765
1.1067
−0.6246
0.765
−0.8307
0.392
0.765
1.0349
−0.5736
0.765
−0.7676
0.3217
0.765
0.9609
−0.5198
0.765
−0.7003
0.2506
0.765
0.8845
−0.463
0.765
−0.6287
0.1787
0.765
0.8059
−0.4035
0.765
−0.5527
0.1063
0.765
0.7249
−0.3413
0.765
−0.4721
0.0335
0.765
0.6415
−0.2764
0.765
−0.3896
−0.0373
0.765
0.5584
−0.2111
0.765
−0.3049
−0.1059
0.765
0.4755
−0.1456
0.765
−0.2182
−0.1722
0.765
0.3926
−0.08
0.765
−0.1292
−0.2361
0.765
0.3097
−0.0144
0.765
−0.0379
−0.2975
0.765
0.2266
0.0508
0.765
0.0552
−0.3558
0.765
0.143
0.1154
0.765
0.1499
−0.4112
0.765
0.059
0.1795
0.765
0.2461
−0.464
0.765
−0.0253
0.2432
0.765
0.3436
−0.5143
0.765
−0.1097
0.3067
0.765
0.4424
−0.5624
0.765
−0.1943
0.3701
0.765
0.5423
−0.6084
0.765
−0.2789
0.4334
0.765
0.6397
−0.6508
0.765
−0.3606
0.4947
0.765
0.7345
−0.69
0.765
−0.4395
0.5539
0.765
0.8266
−0.7263
0.765
−0.5156
0.6108
0.765
0.9157
−0.7599
0.765
−0.589
0.6656
0.765
1.0019
−0.7913
0.765
−0.6597
0.7181
0.765
1.0848
−0.8204
0.765
−0.7277
0.7683
0.765
1.1646
−0.8478
0.765
−0.7932
0.816
0.765
1.2411
−0.8734
0.765
−0.8533
0.8591
0.765
1.3107
−0.8962
0.765
−0.9081
0.8975
0.765
1.3735
−0.9165
0.765
−0.9576
0.9312
0.765
1.4292
−0.9349
0.765
−1.0018
0.9601
0.765
1.4812
−0.9528
0.765
−1.0407
0.9843
0.765
1.5261
−0.9687
0.765
−1.074
1.004
0.765
1.5606
−0.9809
0.765
−1.1029
1.0202
0.765
1.5884
−0.9905
0.765
−1.1277
1.0329
0.765
1.6094
−0.9965
0.765
−1.1488
1.0416
0.765
1.6254
−0.9927
0.765
−1.1664
1.0463
0.765
1.6326
−0.9871
0.765
−1.1804
1.0478
0.765
1.6362
−0.9824
0.765
−1.191
1.0471
0.765
1.6377
−0.9798
0.765
−1.1995
1.0448
0.765
1.6383
−0.9785
0.765
−1.2058
1.0416
0.765
−1.178
0.9993
2.365
1.5872
−0.952
2.365
−1.1815
0.9952
2.365
1.5874
−0.9514
2.365
−1.185
0.9889
2.365
1.5879
−0.9501
2.365
−1.1874
0.9802
2.365
1.5886
−0.9475
2.365
−1.1881
0.9694
2.365
1.5892
−0.9421
2.365
−1.1867
0.9551
2.365
1.5879
−0.9337
2.365
−1.1822
0.937
2.365
1.5793
−0.9213
2.365
−1.174
0.9153
2.365
1.5613
−0.9114
2.365
−1.1623
0.8896
2.365
1.537
−0.8989
2.365
−1.1474
0.8595
2.365
1.5066
−0.8833
2.365
−1.129
0.8249
2.365
1.4672
−0.8628
2.365
−1.106
0.7847
2.365
1.4223
−0.8382
2.365
−1.0779
0.7393
2.365
1.3751
−0.8106
2.365
−1.0444
0.6888
2.365
1.3228
−0.7783
2.365
−1.0055
0.6333
2.365
1.2653
−0.7417
2.365
−0.9609
0.5733
2.365
1.2025
−0.7007
2.365
−0.9103
0.5092
2.365
1.1374
−0.6569
2.365
−0.8561
0.4438
2.365
1.0701
−0.6103
2.365
−0.7981
0.3773
2.365
1.0005
−0.5609
2.365
−0.7361
0.3097
2.365
0.9287
−0.5087
2.365
−0.6701
0.2413
2.365
0.8547
−0.4538
2.365
−0.5998
0.172
2.365
0.7784
−0.3963
2.365
−0.5252
0.1022
2.365
0.6998
−0.3361
2.365
−0.4461
0.0319
2.365
0.6189
−0.2734
2.365
−0.3651
−0.0364
2.365
0.5382
−0.2103
2.365
−0.2821
−0.1028
2.365
0.4578
−0.1469
2.365
−0.1969
−0.1669
2.365
0.3774
−0.0835
2.365
−0.11
−0.2286
2.365
0.2969
−0.0202
2.365
−0.0217
−0.2873
2.365
0.2162
0.0429
2.365
0.0682
−0.343
2.365
0.1351
0.1053
2.365
0.1594
−0.3961
2.365
0.0536
0.1673
2.365
0.2517
−0.4466
2.365
−0.0281
0.229
2.365
0.3452
−0.495
2.365
−0.11
0.2904
2.365
0.4397
−0.5412
2.365
−0.1921
0.3517
2.365
0.5352
−0.5854
2.365
−0.2741
0.4129
2.365
0.6283
−0.6264
2.365
−0.3534
0.4721
2.365
0.719
−0.6645
2.365
−0.4301
0.5293
2.365
0.8071
−0.6999
2.365
−0.504
0.5843
2.365
0.8925
−0.7328
2.365
−0.5753
0.6371
2.365
0.975
−0.7636
2.365
−0.644
0.6877
2.365
1.0547
−0.7924
2.365
−0.7101
0.7361
2.365
1.1313
−0.8194
2.365
−0.7737
0.7822
2.365
1.2047
−0.8448
2.365
−0.8321
0.8237
2.365
1.2716
−0.8674
2.365
−0.8853
0.8607
2.365
1.3319
−0.8876
2.365
−0.9334
0.8932
2.365
1.3854
−0.9058
2.365
−0.9764
0.9211
2.365
1.4353
−0.9236
2.365
−1.0142
0.9444
2.365
1.4784
−0.9394
2.365
−1.0465
0.9634
2.365
1.5116
−0.9515
2.365
−1.0745
0.9791
2.365
1.5382
−0.9609
2.365
−1.0985
0.9915
2.365
1.5583
−0.9676
2.365
−1.1188
1.0004
2.365
1.5739
−0.9657
2.365
−1.1357
1.0055
2.365
1.5812
−0.9608
2.365
−1.1492
1.0076
2.365
1.5848
−0.9564
2.365
−1.1594
1.0073
2.365
1.5863
−0.954
2.365
−1.1677
1.0055
2.365
1.5869
−0.9527
2.365
−1.1739
1.0025
2.365
−1.1416
0.958
4.165
1.5298
−0.9231
4.165
−1.1449
0.954
4.165
1.53
−0.9225
4.165
−1.1476
0.9477
4.165
1.5305
−0.9213
4.165
−1.149
0.9392
4.165
1.5311
−0.9187
4.165
−1.1486
0.929
4.165
1.5315
−0.9135
4.165
−1.1457
0.9156
4.165
1.5296
−0.9055
4.165
−1.1398
0.899
4.165
1.5194
−0.8951
4.165
−1.1303
0.879
4.165
1.5018
−0.8859
4.165
−1.1175
0.8553
4.165
1.4784
−0.8738
4.165
−1.1017
0.8274
4.165
1.4491
−0.8588
4.165
−1.0824
0.7954
4.165
1.411
−0.839
4.165
−1.0585
0.7582
4.165
1.3676
−0.8154
4.165
−1.0297
0.7159
4.165
1.3221
−0.789
4.165
−0.9957
0.6691
4.165
1.2714
−0.7583
4.165
−0.9566
0.6178
4.165
1.2157
−0.7234
4.165
−0.9122
0.5622
4.165
1.1547
−0.6844
4.165
−0.8622
0.5024
4.165
1.0914
−0.643
4.165
−0.8087
0.4413
4.165
1.0259
−0.5988
4.165
−0.7516
0.379
4.165
0.9582
−0.5521
4.165
−0.6907
0.3154
4.165
0.8882
−0.5028
4.165
−0.626
0.2507
4.165
0.816
−0.451
4.165
−0.5574
0.1851
4.165
0.7416
−0.3967
4.165
−0.4846
0.1187
4.165
0.665
−0.3399
4.165
−0.4079
0.0518
4.165
0.586
−0.2807
4.165
−0.3299
−0.013
4.165
0.5073
−0.2211
4.165
−0.2505
−0.0758
4.165
0.4289
−0.1613
4.165
−0.1699
−0.1364
4.165
0.3505
−0.1012
4.165
−0.0878
−0.1949
4.165
0.2722
−0.0412
4.165
−0.0043
−0.2512
4.165
0.1937
0.0187
4.165
0.0808
−0.3051
4.165
0.115
0.0783
4.165
0.1672
−0.3568
4.165
0.0361
0.1375
4.165
0.2549
−0.4065
4.165
−0.043
0.1966
4.165
0.3438
−0.4544
4.165
−0.1221
0.2557
4.165
0.4339
−0.5005
4.165
−0.2012
0.3147
4.165
0.525
−0.545
4.165
−0.2802
0.3738
4.165
0.614
−0.5865
4.165
−0.3565
0.4312
4.165
0.7008
−0.6251
4.165
−0.4301
0.4866
4.165
0.7849
−0.6612
4.165
−0.501
0.54
4.165
0.8664
−0.6949
4.165
−0.5693
0.5915
4.165
0.9452
−0.7263
4.165
−0.635
0.641
4.165
1.0211
−0.7558
4.165
−0.6981
0.6884
4.165
1.094
−0.7835
4.165
−0.7588
0.7337
4.165
1.164
−0.8095
4.165
−0.8144
0.7747
4.165
1.2277
−0.8327
4.165
−0.8649
0.8115
4.165
1.2852
−0.8533
4.165
−0.9104
0.844
4.165
1.3362
−0.8718
4.165
−0.9511
0.872
4.165
1.3838
−0.8898
4.165
−0.9867
0.8956
4.165
1.4249
−0.9059
4.165
−1.0173
0.915
4.165
1.4566
−0.918
4.165
−1.0436
0.9312
4.165
1.482
−0.9274
4.165
−1.0661
0.9443
4.165
1.5012
−0.9343
4.165
−1.085
0.9542
4.165
1.5162
−0.9352
4.165
−1.1008
0.9606
4.165
1.5237
−0.9313
4.165
−1.1136
0.9637
4.165
1.5274
−0.9273
4.165
−1.1234
0.9645
4.165
1.5289
−0.925
4.165
−1.1316
0.9635
4.165
1.5295
−0.9238
4.165
−1.1377
0.961
4.165
−1.1035
0.9199
5.965
1.4714
−0.8954
5.965
−1.1065
0.916
5.965
1.4717
−0.8948
5.965
−1.1088
0.9098
5.965
1.4721
−0.8936
5.965
−1.1094
0.9015
5.965
1.4727
−0.8912
5.965
−1.1082
0.8917
5.965
1.473
−0.8861
5.965
−1.1047
0.8791
5.965
1.4706
−0.8786
5.965
−1.0981
0.8635
5.965
1.4598
−0.8695
5.965
−1.0884
0.8445
5.965
1.443
−0.8605
5.965
−1.0759
0.8219
5.965
1.4205
−0.8486
5.965
−1.0604
0.7953
5.965
1.3924
−0.834
5.965
−1.0415
0.7647
5.965
1.3557
−0.8149
5.965
−1.0181
0.7291
5.965
1.314
−0.792
5.965
−0.9899
0.6889
5.965
1.2701
−0.7664
5.965
−0.9566
0.6444
5.965
1.2214
−0.7367
5.965
−0.9183
0.5957
5.965
1.1677
−0.7031
5.965
−0.8751
0.5427
5.965
1.1089
−0.6655
5.965
−0.8265
0.4857
5.965
1.0479
−0.6256
5.965
−0.7745
0.4275
5.965
0.9848
−0.5831
5.965
−0.7189
0.368
5.965
0.9195
−0.5381
5.965
−0.6599
0.3073
5.965
0.852
−0.4907
5.965
−0.5971
0.2456
5.965
0.7825
−0.4409
5.965
−0.5305
0.183
5.965
0.7107
−0.3886
5.965
−0.4602
0.1197
5.965
0.6368
−0.334
5.965
−0.3862
0.0561
5.965
0.5607
−0.277
5.965
−0.3111
−0.0057
5.965
0.4848
−0.2197
5.965
−0.2347
−0.0656
5.965
0.4091
−0.162
5.965
−0.1571
−0.1236
5.965
0.3336
−0.1042
5.965
−0.0781
−0.1796
5.965
0.2582
−0.0463
5.965
0.0022
−0.2335
5.965
0.1826
0.0114
5.965
0.0839
−0.2854
5.965
0.1068
0.0689
5.965
0.1669
−0.3352
5.965
0.0308
0.1261
5.965
0.251
−0.3833
5.965
−0.0453
0.1832
5.965
0.3363
−0.4297
5.965
−0.1214
0.2401
5.965
0.4226
−0.4745
5.965
−0.1976
0.2971
5.965
0.5099
−0.5179
5.965
−0.2737
0.3542
5.965
0.5951
−0.5584
5.965
−0.3471
0.4095
5.965
0.6781
−0.5964
5.965
−0.418
0.4629
5.965
0.7586
−0.6319
5.965
−0.4864
0.5145
5.965
0.8366
−0.6651
5.965
−0.5522
0.5641
5.965
0.9119
−0.6963
5.965
−0.6155
0.6118
5.965
0.9844
−0.7256
5.965
−0.6764
0.6575
5.965
1.0541
−0.7531
5.965
−0.7349
0.7009
5.965
1.121
−0.7791
5.965
−0.7885
0.7404
5.965
1.1819
−0.8023
5.965
−0.8371
0.776
5.965
1.2369
−0.8229
5.965
−0.881
0.8073
5.965
1.2856
−0.8414
5.965
−0.9202
0.8343
5.965
1.3311
−0.8595
5.965
−0.9546
0.8569
5.965
1.3703
−0.8755
5.965
−0.9841
0.8755
5.965
1.4006
−0.8875
5.965
−1.0096
0.891
5.965
1.4249
−0.8969
5.965
−1.0312
0.9036
5.965
1.4433
−0.9036
5.965
−1.0493
0.9135
5.965
1.4576
−0.9062
5.965
−1.0643
0.9202
5.965
1.4652
−0.903
5.965
−1.0764
0.9239
5.965
1.469
−0.8994
5.965
−1.0858
0.9252
5.965
1.4705
−0.8972
5.965
−1.0937
0.9248
5.965
1.4711
−0.896
5.965
−1.0997
0.9227
5.965
−1.0529
0.8737
8.265
1.3957
−0.8606
8.265
−1.0555
0.8698
8.265
1.3959
−0.86
8.265
−1.057
0.8637
8.265
1.3963
−0.8589
8.265
−1.0566
0.8559
8.265
1.397
−0.8565
8.265
−1.0545
0.8468
8.265
1.3972
−0.8517
8.265
−1.05
0.8352
8.265
1.3948
−0.8445
8.265
−1.0428
0.8207
8.265
1.3843
−0.8361
8.265
−1.0329
0.8032
8.265
1.3684
−0.8274
8.265
−1.0204
0.782
8.265
1.3471
−0.816
8.265
−1.005
0.7573
8.265
1.3204
−0.8018
8.265
−0.9862
0.7287
8.265
1.2857
−0.7833
8.265
−0.9632
0.6956
8.265
1.2462
−0.7611
8.265
−0.9356
0.6581
8.265
1.2046
−0.7366
8.265
−0.9033
0.6166
8.265
1.1583
−0.7081
8.265
−0.8661
0.5712
8.265
1.1073
−0.6759
8.265
−0.8242
0.5216
8.265
1.0514
−0.64
8.265
−0.7773
0.4681
8.265
0.9934
−0.6019
8.265
−0.7271
0.4134
8.265
0.9334
−0.5613
8.265
−0.6736
0.3574
8.265
0.8712
−0.5185
8.265
−0.6169
0.3003
8.265
0.807
−0.4735
8.265
−0.557
0.2423
8.265
0.7407
−0.4261
8.265
−0.4938
0.1837
8.265
0.6723
−0.3766
8.265
−0.4272
0.1244
8.265
0.6018
−0.3248
8.265
−0.3573
0.0646
8.265
0.5292
−0.2708
8.265
−0.2862
0.0063
8.265
0.4569
−0.2164
8.265
−0.214
−0.0504
8.265
0.3847
−0.1618
8.265
−0.1406
−0.1054
8.265
0.3126
−0.1071
8.265
−0.066
−0.1587
8.265
0.2406
−0.0522
8.265
0.0098
−0.2104
8.265
0.1686
0.0025
8.265
0.087
−0.2601
8.265
0.0963
0.057
8.265
0.1654
−0.3082
8.265
0.024
0.1114
8.265
0.2449
−0.3548
8.265
−0.0485
0.1656
8.265
0.3255
−0.3999
8.265
−0.1209
0.2198
8.265
0.4071
−0.4437
8.265
−0.1934
0.274
8.265
0.4896
−0.4861
8.265
−0.2658
0.3284
8.265
0.57
−0.5259
8.265
−0.3356
0.381
8.265
0.6482
−0.5631
8.265
−0.4031
0.4318
8.265
0.7241
−0.5981
8.265
−0.4681
0.4809
8.265
0.7975
−0.6309
8.265
−0.5306
0.5282
8.265
0.8685
−0.6618
8.265
−0.5908
0.5736
8.265
0.9368
−0.6908
8.265
−0.6487
0.6172
8.265
1.0025
−0.7182
8.265
−0.7043
0.6586
8.265
1.0655
−0.744
8.265
−0.7552
0.6963
8.265
1.123
−0.7671
8.265
−0.8013
0.7304
8.265
1.1747
−0.7876
8.265
−0.8428
0.7605
8.265
1.2207
−0.8061
8.265
−0.8799
0.7864
8.265
1.2636
−0.8239
8.265
−0.9124
0.8083
8.265
1.3006
−0.8396
8.265
−0.9403
0.8263
8.265
1.3291
−0.8516
8.265
−0.9644
0.8413
8.265
1.3521
−0.8609
8.265
−0.9848
0.8536
8.265
1.3694
−0.8676
8.265
−1.0018
0.8634
8.265
1.3827
−0.8703
8.265
−1.0157
0.8706
8.265
1.3898
−0.8675
8.265
−1.0269
0.875
8.265
1.3934
−0.8642
8.265
−1.0357
0.8771
8.265
1.3948
−0.8622
8.265
−1.0432
0.8775
8.265
1.3954
−0.8611
8.265
−1.0491
0.8762
8.265
−1
0.8293
10.565
1.3182
−0.827
10.565
−1.002
0.8254
10.565
1.3185
−0.8265
10.565
−1.002
0.8195
10.565
1.3189
−0.8254
10.565
−1
0.8125
10.565
1.3195
−0.8232
10.565
−0.9965
0.8045
10.565
1.3197
−0.8186
10.565
−0.9906
0.7944
10.565
1.3173
−0.8118
10.565
−0.9823
0.7818
10.565
1.3072
−0.8041
10.565
−0.9716
0.7662
10.565
1.2919
−0.7962
10.565
−0.9581
0.7475
10.565
1.2715
−0.7857
10.565
−0.9416
0.7257
10.565
1.2462
−0.7723
10.565
−0.9218
0.7005
10.565
1.2134
−0.7547
10.565
−0.8979
0.6712
10.565
1.1758
−0.7338
10.565
−0.8699
0.6378
10.565
1.136
−0.7111
10.565
−0.8375
0.6005
10.565
1.0916
−0.685
10.565
−0.8005
0.5595
10.565
1.0425
−0.6555
10.565
−0.759
0.5147
10.565
0.9888
−0.6226
10.565
−0.7129
0.4663
10.565
0.9329
−0.5877
10.565
−0.664
0.4167
10.565
0.875
−0.5508
10.565
−0.6124
0.3659
10.565
0.815
−0.5117
10.565
−0.5579
0.314
10.565
0.753
−0.4706
10.565
−0.5005
0.261
10.565
0.6889
−0.4274
10.565
−0.4401
0.207
10.565
0.6228
−0.3821
10.565
−0.3767
0.1521
10.565
0.5547
−0.3346
10.565
−0.3102
0.0963
10.565
0.4845
−0.2851
10.565
−0.2427
0.0417
10.565
0.4147
−0.2351
10.565
−0.1743
−0.0118
10.565
0.3451
−0.1848
10.565
−0.1048
−0.0641
10.565
0.2758
−0.1341
10.565
−0.0343
−0.1153
10.565
0.2067
−0.083
10.565
0.0372
−0.1653
10.565
0.1377
−0.0319
10.565
0.1096
−0.2139
10.565
0.0688
0.0194
10.565
0.1828
−0.2612
10.565
0
0.0708
10.565
0.2568
−0.3073
10.565
−0.0686
0.1225
10.565
0.3314
−0.3522
10.565
−0.1371
0.1743
10.565
0.4068
−0.3961
10.565
−0.2054
0.2263
10.565
0.4828
−0.4389
10.565
−0.2735
0.2787
10.565
0.5568
−0.4793
10.565
−0.3391
0.3296
10.565
0.6287
−0.5174
10.565
−0.4022
0.379
10.565
0.6985
−0.5533
10.565
−0.463
0.4268
10.565
0.766
−0.5873
10.565
−0.5213
0.4731
10.565
0.8313
−0.6193
10.565
−0.5773
0.5177
10.565
0.8942
−0.6496
10.565
−0.6309
0.5607
10.565
0.9546
−0.6781
10.565
−0.6823
0.6019
10.565
1.0127
−0.7051
10.565
−0.7292
0.6395
10.565
1.0655
−0.7292
10.565
−0.7717
0.6735
10.565
1.1132
−0.7508
10.565
−0.8098
0.7038
10.565
1.1556
−0.7699
10.565
−0.8436
0.7302
10.565
1.1954
−0.7879
10.565
−0.873
0.753
10.565
1.2298
−0.8036
10.565
−0.8981
0.7721
10.565
1.2562
−0.8157
10.565
−0.9198
0.7881
10.565
1.2774
−0.8254
10.565
−0.9382
0.8012
10.565
1.2932
−0.8326
10.565
−0.9535
0.8118
10.565
1.3057
−0.8359
10.565
−0.9659
0.82
10.565
1.3125
−0.8335
10.565
−0.9758
0.8257
10.565
1.316
−0.8305
10.565
−0.9836
0.8293
10.565
1.3174
−0.8286
10.565
−0.9905
0.8312
10.565
1.318
−0.8276
10.565
−0.9962
0.8312
10.565
−0.9907
0.8214
10.965
1.3046
−0.8215
10.965
−0.9925
0.8175
10.965
1.3049
−0.821
10.965
−0.9922
0.8117
10.965
1.3053
−0.8199
10.965
−0.99
0.8049
10.965
1.3059
−0.8177
10.965
−0.9861
0.7971
10.965
1.3061
−0.8131
10.965
−0.98
0.7874
10.965
1.3038
−0.8064
10.965
−0.9715
0.775
10.965
1.2938
−0.7987
10.965
−0.9606
0.7599
10.965
1.2786
−0.7909
10.965
−0.9469
0.7417
10.965
1.2585
−0.7805
10.965
−0.9303
0.7204
10.965
1.2333
−0.7673
10.965
−0.9103
0.6959
10.965
1.2008
−0.7498
10.965
−0.8863
0.6673
10.965
1.1635
−0.7293
10.965
−0.8582
0.6346
10.965
1.1241
−0.7069
10.965
−0.8257
0.598
10.965
1.0799
−0.6812
10.965
−0.7887
0.5578
10.965
1.0311
−0.6523
10.965
−0.7473
0.5139
10.965
0.9777
−0.62
10.965
−0.7014
0.4665
10.965
0.9222
−0.5857
10.965
−0.6527
0.4178
10.965
0.8646
−0.5494
10.965
−0.6013
0.3679
10.965
0.8049
−0.5111
10.965
−0.5471
0.3167
10.965
0.7432
−0.4707
10.965
−0.4901
0.2645
10.965
0.6795
−0.4283
10.965
−0.4301
0.2113
10.965
0.6137
−0.3838
10.965
−0.3671
0.157
10.965
0.546
−0.3372
10.965
−0.3011
0.1019
10.965
0.4762
−0.2885
10.965
−0.2341
0.0479
10.965
0.4068
−0.2393
10.965
−0.1662
−0.0051
10.965
0.3376
−0.1897
10.965
−0.0973
−0.0571
10.965
0.2688
−0.1397
10.965
−0.0277
−0.1079
10.965
0.2001
−0.0894
10.965
0.0428
−0.1574
10.965
0.1317
−0.0389
10.965
0.1142
−0.2057
10.965
0.0633
0.0118
10.965
0.1863
−0.2528
10.965
−0.0048
0.0628
10.965
0.2592
−0.2988
10.965
−0.0728
0.1139
10.965
0.3328
−0.3437
10.965
−0.1406
0.1653
10.965
0.407
−0.3877
10.965
−0.2082
0.217
10.965
0.4818
−0.4306
10.965
−0.2755
0.2691
10.965
0.5546
−0.4711
10.965
−0.3404
0.3197
10.965
0.6254
−0.5094
10.965
−0.4027
0.3689
10.965
0.6941
−0.5456
10.965
−0.4627
0.4166
10.965
0.7605
−0.5798
10.965
−0.5203
0.4627
10.965
0.8247
−0.6121
10.965
−0.5755
0.5072
10.965
0.8866
−0.6426
10.965
−0.6283
0.5501
10.965
0.9461
−0.6714
10.965
−0.6789
0.5913
10.965
1.0032
−0.6986
10.965
−0.7251
0.6289
10.965
1.0553
−0.723
10.965
−0.7669
0.663
10.965
1.1022
−0.7448
10.965
−0.8043
0.6934
10.965
1.144
−0.764
10.965
−0.8376
0.72
10.965
1.1831
−0.7821
10.965
−0.8664
0.7429
10.965
1.217
−0.7979
10.965
−0.891
0.7622
10.965
1.2431
−0.81
10.965
−0.9122
0.7784
10.965
1.264
−0.8197
10.965
−0.9302
0.7917
10.965
1.2796
−0.827
10.965
−0.9452
0.8024
10.965
1.292
−0.8303
10.965
−0.9573
0.8108
10.965
1.2988
−0.828
10.965
−0.9669
0.8168
10.965
1.3024
−0.8249
10.965
−0.9745
0.8206
10.965
1.3038
−0.823
10.965
−0.9812
0.8229
10.965
1.3043
−0.822
10.965
−0.9869
0.8232
10.965
−0.9768
0.8107
11.565
1.2842
−0.813
11.565
−0.9784
0.8068
11.565
1.2845
−0.8125
11.565
−0.9776
0.8012
11.565
1.2849
−0.8114
11.565
−0.975
0.7946
11.565
1.2855
−0.8093
11.565
−0.9709
0.7871
11.565
1.2858
−0.8047
11.565
−0.9646
0.7777
11.565
1.2836
−0.7981
11.565
−0.9561
0.7656
11.565
1.2739
−0.7903
11.565
−0.9451
0.7508
11.565
1.2589
−0.7826
11.565
−0.9314
0.7331
11.565
1.2391
−0.7723
11.565
−0.9147
0.7124
11.565
1.2143
−0.7592
11.565
−0.8947
0.6885
11.565
1.1823
−0.742
11.565
−0.8707
0.6606
11.565
1.1455
−0.7217
11.565
−0.8427
0.6287
11.565
1.1066
−0.6996
11.565
−0.8104
0.5929
11.565
1.063
−0.6744
11.565
−0.7736
0.5537
11.565
1.0148
−0.6459
11.565
−0.7326
0.5108
11.565
0.9621
−0.6142
11.565
−0.6871
0.4644
11.565
0.9073
−0.5805
11.565
−0.6389
0.4167
11.565
0.8504
−0.5448
11.565
−0.588
0.3678
11.565
0.7915
−0.5072
11.565
−0.5344
0.3176
11.565
0.7305
−0.4675
11.565
−0.478
0.2663
11.565
0.6676
−0.4259
11.565
−0.4187
0.214
11.565
0.6026
−0.3821
11.565
−0.3564
0.1606
11.565
0.5357
−0.3364
11.565
−0.2912
0.1063
11.565
0.4668
−0.2885
11.565
−0.2251
0.053
11.565
0.3982
−0.2402
11.565
−0.1582
0.0008
11.565
0.3299
−0.1914
11.565
−0.0906
−0.0503
11.565
0.2619
−0.1422
11.565
−0.0221
−0.1004
11.565
0.1941
−0.0927
11.565
0.0471
−0.1494
11.565
0.1266
−0.0429
11.565
0.1172
−0.1972
11.565
0.0592
0.0071
11.565
0.188
−0.2439
11.565
−0.008
0.0573
11.565
0.2595
−0.2897
11.565
−0.075
0.1078
11.565
0.3317
−0.3344
11.565
−0.1418
0.1586
11.565
0.4044
−0.3781
11.565
−0.2084
0.2097
11.565
0.4777
−0.4209
11.565
−0.2747
0.2612
11.565
0.5491
−0.4615
11.565
−0.3385
0.3112
11.565
0.6185
−0.4998
11.565
−0.3999
0.3599
11.565
0.6858
−0.5361
11.565
−0.4589
0.4071
11.565
0.7509
−0.5703
11.565
−0.5155
0.4527
11.565
0.8138
−0.6028
11.565
−0.5698
0.4968
11.565
0.8744
−0.6334
11.565
−0.6217
0.5393
11.565
0.9327
−0.6624
11.565
−0.6715
0.5802
11.565
0.9886
−0.6897
11.565
−0.7168
0.6175
11.565
1.0397
−0.7142
11.565
−0.7578
0.6514
11.565
1.0857
−0.7361
11.565
−0.7946
0.6815
11.565
1.1266
−0.7555
11.565
−0.8271
0.708
11.565
1.165
−0.7737
11.565
−0.8554
0.7308
11.565
1.1982
−0.7895
11.565
−0.8794
0.7501
11.565
1.2238
−0.8016
11.565
−0.9001
0.7663
11.565
1.2443
−0.8113
11.565
−0.9177
0.7796
11.565
1.2596
−0.8185
11.565
−0.9324
0.7904
11.565
1.2718
−0.8217
11.565
−0.9443
0.7988
11.565
1.2785
−0.8194
11.565
−0.9536
0.8049
11.565
1.282
−0.8164
11.565
−0.961
0.809
11.565
1.2834
−0.8145
11.565
−0.9675
0.8115
11.565
1.2839
−0.8135
11.565
−0.973
0.8123
11.565
It will also be appreciated that the airfoil 200 disclosed in the above scalable TABLE 1 may be non-scaled, scaled up, or scaled down geometrically for use in other similar turbine/compressor designs. Consequently, the coordinate values set forth in TABLE 1 may be non-scaled, scaled upwardly, or scaled downwardly such that the general airfoil profile shape remains unchanged. A scaled version of the coordinates in TABLE 1 would be represented by X, Y, and Z coordinate values of TABLE 1, with the X, Y, and Z non-dimensional coordinate values converted to inches or mm (or any suitable dimensional system), and then multiplied or divided by a constant number. The constant number may be a fraction, decimal fraction, integer or mixed number.
The article of manufacture may also have a suction-side nominal airfoil profile substantially in accordance with suction-side Cartesian coordinate values of X, Y, and Z set forth in the scalable table identified herein as TABLE 1. The Cartesian coordinate values of X, circumferentially Y, and Z are non-dimensional values convertible to dimensional distances by multiplying the Cartesian coordinate values of X, Y, and Z by a number. The X and Y coordinates, when connected by smooth continuing arcs, define airfoil profile sections at each Z height. The airfoil profile sections at each Z height are joined smoothly with one another to form a complete suction-side airfoil shape. The X, Y, and Z coordinate values are scalable as a function of a number to provide a non-scaled, scaled-up, or scaled-down airfoil profile.
The article of manufacture may also have a pressure-side nominal airfoil profile substantially in accordance with pressure-side Cartesian coordinate values of X, Y, and Z set forth in the scalable identified herein as TABLE 1. The Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances by multiplying the Cartesian coordinate values of X, Y, and Z by a number. X and Y are coordinates which, when connected by smooth continuing arcs, define airfoil profile sections at each Z height. The airfoil profile sections at each Z height are joined smoothly with one another to form a complete pressure-side airfoil shape. The X, Y, and Z values are scalable as a function of the number to provide at least one of a non-scaled, scaled-up, and scaled-down airfoil.
The article of manufacture may be an airfoil or a stator vane configured for use with a compressor. The suction-side airfoil shape may lie in an envelope within +/−5% of a chord length in a direction normal to a suction-side airfoil surface location, or +/−0.25 inches in a direction normal to a suction-side airfoil surface location.
The number, used to convert the non-dimensional values to dimensional distances, may be a fraction, decimal fraction, integer, or mixed number. The height of the article of manufacture may be about 1 inch to about 30 inches, or any suitable height as desired in the specific application.
A compressor 2, according to an aspect of the present disclosure, may include a plurality of stator vanes 23. Each of the stator vanes 23 includes an airfoil 200 having a suction-side 310 airfoil shape, the airfoil 200 having a nominal profile substantially in accordance with suction-side 310 Cartesian coordinate values of X, Y, and Z set forth in a scalable table identified herein as TABLE 1. The Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances by multiplying the Cartesian coordinate values of X, Y, and Z by a number. The number, used to convert the non-dimensional values to dimensional distances, may be a fraction, decimal fraction, integer, or mixed number. X and Y are coordinates which, when connected by smooth continuing arcs, define airfoil profile sections at each Z height. The airfoil profile sections at each Z height are joined smoothly with one another to form a complete suction-side 310 airfoil shape.
The compressor 2, according to an aspect of the present disclosure, may also have a plurality of stator vanes 23 having a pressure-side 320 nominal airfoil profile substantially in accordance with pressure-side Cartesian coordinate values of X, Y, and Z set forth in scalable TABLE 1. The Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances by multiplying the Cartesian coordinate values of X, Y, and Z by a number. The number (which would be the same number used for the suction side) may be a fraction, decimal fraction, integer, or mixed number. X and Y are coordinates which, when connected by smooth continuing arcs, define airfoil profile sections at each Z height, the airfoil profile sections at each Z height being joined smoothly with one another to form a complete pressure-side airfoil shape.
An important term in this disclosure is profile. The profile is the range of the variation between measured points on an airfoil surface and the ideal position listed in scalable TABLE 1. The actual profile on a manufactured blade or vane may be different than those in scalable TABLE 1, and the design is robust to this variation (“robust” meaning that mechanical and aerodynamic function is not impaired). As noted above, an approximately + or −5% chord and/or 0.25 inch profile tolerance is used herein. The X, Y, and Z values are all non-dimensionalized.
The following are non-limiting examples of the airfoil profiles embodied by the present disclosure. On some compressors, each airfoil profile section (e.g., at each Z height) may be connected by substantially smooth continuing arcs. On other compressors, some of the airfoil profile sections may be connected by substantially smooth continuing arcs. Embodiments of the present disclosure may also be employed by a compressor having stage(s) with no airfoil profile sections connected by substantially smooth continuing arcs.
The disclosed airfoil shape increases reliability and is specific to the machine conditions and specifications. The airfoil shape provides a unique profile to achieve (1) interaction between other stages in the compressor; (2) aerodynamic efficiency; and (3) normalized aerodynamic and mechanical blade or vane loadings. The disclosed loci of points allow the gas turbine and compressor or any other suitable turbine/compressor to run in an efficient, safe, and smooth manner. As also noted, any scale of the disclosed airfoil may be adopted as long as (1) interaction between other stages in the compressor; (2) aerodynamic efficiency; and (3) normalized aerodynamic and mechanical blade loadings are maintained in the scaled compressor.
The airfoil 200 described herein thus improves overall compressor 2 efficiency. Specifically, the airfoil 200 provides the desired turbine/compressor efficiency lapse rate (ISO, hot, cold, part-load, etc.). The airfoil 200 also meets all requirements for aeromechanics, loading, and stress.
It should be understood that the finished article of manufacture, blade, or vane does not necessarily include all the sections defined in the one or more tables listed above. The portion of the airfoil proximal to a platform (or dovetail) and/or tip may not be defined by an airfoil profile section. It should be considered that the airfoil proximal to the platform or tip may vary due to several imposed constraints. The airfoil contains a main profile section that is substantially defined between the inner and outer flowpath walls. The remaining sections of the airfoil may be partly, at least partly, or completely located outside of the flowpath. At least some of these remaining sections may be employed to improve the curve fitting of the airfoil at its radially inner or outer portions. The skilled reader will appreciate that a suitable fillet radius may be applied between the platform and the airfoil portion of the article of manufacture, blade, or vane.
This written description uses examples to disclose the presently claimed subject matter, including the best mode, and also to enable any person skilled in the art to practice the claimed subject matter, including making and using any devices or systems and performing any incorporated methods. The patentable scope of the disclosure is defined by the claims, and may include other examples that occur to those skilled in the art. Such other examples are intended to be within the scope of the claims if they have structural elements that do not differ from the literal language of the claims, or if they include equivalent structural elements with insubstantial differences from the literal languages of the claims.
S, Vasantharuban, Dhayanandam, Prem Navin, Valliappan, Lakshmanan
Patent | Priority | Assignee | Title |
11015459, | Oct 10 2019 | Power Systems Mfg., LLC; POWER SYSTEMS MFG , LLC | Additive manufacturing optimized first stage vane |
11643933, | Sep 30 2022 | GE INFRASTRUCTURE TECHNOLOGY LLC | Compressor stator vane airfoils |
ER8475, |
Patent | Priority | Assignee | Title |
9145777, | Jul 24 2012 | GE INFRASTRUCTURE TECHNOLOGY LLC | Article of manufacture |
9175693, | Jun 19 2012 | GE INFRASTRUCTURE TECHNOLOGY LLC | Airfoil shape for a compressor |
Executed on | Assignor | Assignee | Conveyance | Frame | Reel | Doc |
Aug 21 2018 | General Electric Company | (assignment on the face of the patent) | / | |||
Nov 10 2023 | General Electric Company | GE INFRASTRUCTURE TECHNOLOGY LLC | ASSIGNMENT OF ASSIGNORS INTEREST SEE DOCUMENT FOR DETAILS | 065727 | /0001 |
Date | Maintenance Fee Events |
Aug 21 2018 | BIG: Entity status set to Undiscounted (note the period is included in the code). |
Feb 21 2024 | M1551: Payment of Maintenance Fee, 4th Year, Large Entity. |
Date | Maintenance Schedule |
Sep 15 2023 | 4 years fee payment window open |
Mar 15 2024 | 6 months grace period start (w surcharge) |
Sep 15 2024 | patent expiry (for year 4) |
Sep 15 2026 | 2 years to revive unintentionally abandoned end. (for year 4) |
Sep 15 2027 | 8 years fee payment window open |
Mar 15 2028 | 6 months grace period start (w surcharge) |
Sep 15 2028 | patent expiry (for year 8) |
Sep 15 2030 | 2 years to revive unintentionally abandoned end. (for year 8) |
Sep 15 2031 | 12 years fee payment window open |
Mar 15 2032 | 6 months grace period start (w surcharge) |
Sep 15 2032 | patent expiry (for year 12) |
Sep 15 2034 | 2 years to revive unintentionally abandoned end. (for year 12) |